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Completing the Square: Vertex Form Techniques

Completing the Square: Vertex Form Techniques

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Practice Problem

Hard

CCSS
HSA-REI.B.4B

Standards-aligned

Created by

Emma Peterson

FREE Resource

Standards-aligned

CCSS.HSA-REI.B.4B

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the standard form of the quadratic equation given in the video?

x - 8 x + 2

x^2 - 6x - 16

x^2 + 6x + 16

x - 3 squared - 7

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which form of the quadratic equation tells us the x-intercepts?

Standard form

Intercept form

Vertex form

None of the above

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In vertex form, what do the variables H and K represent?

The roots of the equation

The vertex coordinates

The x and y intercepts

The coefficients of x and y

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the vertex of the equation x - 3 squared - 7?

(3, -7)

(-3, 7)

(3, 7)

(-3, -7)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of completing the square?

To find the x-intercepts

To simplify the equation

To convert a standard form equation into vertex form

To find the roots of the equation

Tags

CCSS.HSA-REI.B.4B

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in completing the square?

Divide the equation by 2

Find the square root of the equation

Add and subtract the same number

Take half of the coefficient of x and square it

Tags

CCSS.HSA-REI.B.4B

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example x^2 - 8x + 9, what number is added and subtracted to complete the square?

9

8

4

16

Tags

CCSS.HSA-REI.B.4B

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